Task Sets: Pythagorean theorem - ACT Math

1.

A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

2.

A right triangle has a hypotenuse of 13 and one leg of 5. What is the other leg?

A.

8

B.

12

C.

$\sqrt{194}$

D.

18

3.

A right triangle has legs of length 5 and 7. What is the length of the hypotenuse?

A.

$\sqrt{74}$

B.

$\sqrt{24}$

C.

74

D.

12

4.

Two sides of a right triangle are 20 and 48. If 48 is not the hypotenuse, what is the length of the hypotenuse?

5.

Which of the following is a Pythagorean triple?

A.

4, 5, 6

B.

6, 8, 10

C.

5, 10, 15

D.

9, 12, 16

6.

A triangle has side lengths 7, 10, and 12. What type of triangle is it?

A.

Right

B.

Acute

C.

Obtuse

D.

Not a valid triangle

Pythagorean Theorem